A clinical psychologist investigated the success of two different psychological interventions for adolescent anorexia nervosa: Dialectical Behaviour Therapy (DBT) and Family-Based Treatment (FBT). After a 6-month treatment period, patients' outcomes were classified as either 'Full Remission' or 'Partial Remission'. The psychologist wanted to determine if there was a significant association between the type of therapy received and the clinical outcome. The results are shown in Table 1.

Calculate the chi-squared ( $χ2\chi^2$ ) value for this data by completing Table 2. Show your calculations and state your final $\chi^2\,$ value to 2 decimal places.

Table 1: Observed frequency of patient remission by therapy type

Therapy Type	Full Remission	Partial Remission
DBT	30	10
FBT	15	25

Table 2: Chi-squared calculation template

Therapy	Outcome	Observed ( $O$ )	Expected ( $E$ )	$O-E)^2$
DBT	Full Remission	30	22.5
	Partial Remission	10	17.5
FBT	Full Remission	15	22.5
	Partial Remission	25	17.5
				$χ2\chi^2$ =

Calculate the chi-squared ( $χ2\chi^2$ ) value for this data by completing Table 2. Show your calculations and state your final $\chi^2\,$ value to 2 decimal places.

Table 1: Observed frequency of patient remission by therapy type

Therapy Type	Full Remission	Partial Remission
DBT	30	10
FBT	15	25

Table 2: Chi-squared calculation template

Therapy	Outcome	Observed ( $O$ )	Expected ( $E$ )	$O-E)^2$
DBT	Full Remission	30	22.5
	Partial Remission	10	17.5
FBT	Full Remission	15	22.5
	Partial Remission	25	17.5
				$χ2\chi^2$ =

Research methods and skills

Question 7

Table 1: Observed frequency of patient remission by therapy type

Table 2: Chi-squared calculation template

Markscheme

Research methods and skills

Question 7

Table 1: Observed frequency of patient remission by therapy type

Table 2: Chi-squared calculation template

Markscheme

Research methods and skills

Question 7

Table 1: Observed frequency of patient remission by therapy type

Table 2: Chi-squared calculation template

Research methods and skills Questions

Research methods and skills

Question 7

Table 1: Observed frequency of patient remission by therapy type

Table 2: Chi-squared calculation template

Research methods and skills Questions